{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tf_utils import load_dataset, Boundary_function\n",
    "import pandas as pd \n",
    "from sklearn import svm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "plot the training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'X2')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, Y = load_dataset()\n",
    "plt.figure(figsize=(8,5))\n",
    "plt.scatter(X[:,0], X[:,1], c=Y.flatten(), cmap='rainbow')\n",
    "plt.xlabel('X1')\n",
    "plt.ylabel('X2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "models = [svm.SVC(C, kernel='linear', gamma='auto') for C in [1, 100]]\n",
    "clfs = [model.fit(X, Y.ravel()) for model in models]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotBoundary(clf, X):\n",
    "    '''plot decision bondary'''\n",
    "    x_min, x_max = X[:,0].min()*1.2, X[:,0].max()*1.1\n",
    "    y_min, y_max = X[:,1].min()*1.1,X[:,1].max()*1.1\n",
    "    xx, yy = np.meshgrid(np.linspace(x_min, x_max, 500),\n",
    "                         np.linspace(y_min, y_max, 500))\n",
    "    Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    plt.contour(xx, yy, Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "title = ['SVM Decision Boundary with C = {} (Example Dataset 1'.format(C) for C in [1, 100]]\n",
    "for model, title in zip(clfs,title):\n",
    "    plt.figure(figsize=(8,5))\n",
    "    plt.scatter(X[:,0], X[:,1], c=Y.flatten(), cmap='rainbow')\n",
    "    plt.xlabel('X1')\n",
    "    plt.ylabel('X2')\n",
    "    plotBoundary(model, X)\n",
    "    plt.title(title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.40718563 2.13398052]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 2.22237121  1.0876891   3.5836762   1.35665588  0.779535    2.11624609\n  1.72699229  4.0667434   2.1940707   3.09283937  2.73711357  0.57337293\n  1.00024232  2.16346429  0.85852265  3.28590768  3.05524394  2.47265996\n  1.37975249  1.00024201 -0.95493544 -0.68297233 -1.65944445 -1.35827937\n -0.78527174 -0.75466533 -1.16735029 -2.50771951 -1.73272903 -3.32341386\n -2.49536199 -3.66326441 -1.45646554 -1.59904025 -2.4231479  -2.84013295\n -3.92372564 -3.27184946 -2.45603426 -2.80574725 -1.74886318 -1.77462217\n -1.00048702 -2.51510846 -1.26776998 -2.22295047 -3.95433235 -0.61406257\n -2.63204473 -3.74398637 -1.46838687]\n[ 4.68150544 13.08944402]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 16.2205912    8.03223703  20.56616443   7.08812235   0.99968557\n   7.46955389   7.58460717  19.84315158  12.81636773  19.23930925\n  13.82632428   1.60106391   8.9063683   14.67626823   5.1248155\n  17.92049527  14.63970774  10.0653369    4.59046124   4.49233934\n  -1.76666676  -1.78194774  -7.54393316  -6.9708837   -3.59282722\n  -5.45272771  -8.84909221 -14.84054996 -10.17774882 -17.43205253\n -12.89881255 -16.96814984  -6.07138288  -5.62624419 -10.63574501\n -13.73972746 -19.61249789 -13.52095073  -9.3357072  -10.0702686\n  -4.224657    -5.47480866  -0.99934499 -13.88456961  -7.0986556\n -14.32264675 -22.16662635  -3.4527215   -9.36899126 -15.64336137\n   0.99968063]\n"
     ]
    }
   ],
   "source": [
    "for model, title in zip(clfs,title):\n",
    "    Boundary_function(model, X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'X2')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.io import loadmat\n",
    "mat = loadmat('ex6data2.mat')\n",
    "X2 = mat['X']\n",
    "y2 = mat['y']\n",
    "plt.scatter(X2[:,0], X2[:,1], c=y2.flatten(), cmap='rainbow')\n",
    "plt.xlabel('X1')\n",
    "plt.ylabel('X2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sigma = 0.1\n",
    "gamma = np.power(sigma,-2.)/2\n",
    "clf = svm.SVC(C=1, kernel='rbf', gamma=gamma)\n",
    "modle = clf.fit(X2, y2.flatten())\n",
    "plt.scatter(X2[:,0], X2[:,1], c=y2.flatten(), cmap='rainbow')\n",
    "plt.xlabel('X1')\n",
    "plt.ylabel('X2')\n",
    "plotBoundary(modle, X2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x28d174229e8>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = loadmat('ex6data3.mat')\n",
    "X3 = data['X']\n",
    "y3 = data['y']\n",
    "Xval = data['Xval']\n",
    "yval = data['yval']\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.scatter(X3[:, 0], X3[:, 1], c=y3.flatten(), cmap='rainbow')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best_pair=(1.0, 0.1), best_score=0.965\n"
     ]
    }
   ],
   "source": [
    "Cvalues = (0.01, 0.03, 0.1, 0.3, 1., 3., 10., 30.)\n",
    "sigmavalues = Cvalues\n",
    "best_pair, best_score = (0, 0), 0\n",
    "\n",
    "for C in Cvalues:\n",
    "    for sigma in sigmavalues:\n",
    "        gamma = np.power(sigma,-2.)/2\n",
    "        model = svm.SVC(C=C,kernel='rbf',gamma=gamma)\n",
    "        model.fit(X3, y3.flatten())\n",
    "        this_score = model.score(Xval, yval)\n",
    "        if this_score > best_score:\n",
    "            best_score = this_score\n",
    "            best_pair = (C, sigma)\n",
    "print('best_pair={}, best_score={}'.format(best_pair, best_score))\n",
    "# best_pair=(1.0, 0.1), best_score=0.965"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf = svm.SVC(C=1., kernel='rbf', gamma=np.power(.1, -2.) / 2)\n",
    "clf.fit(X3, y3.flatten())\n",
    "plt.scatter(X3[:, 0], X3[:, 1], c=y3.flatten(), cmap='rainbow')\n",
    "plotBoundary(clf, X3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 26  29  39  40  41  43  44  45  46  48  49  50  54  55  56  57  58  59\n  63  65  71  74 117 118 119 151 153 154 155 156 161 162 163 164 165 166\n 169 170 172 173 175 176 177 180 183 184 185 187 190 204 209 210   1   2\n   3   4   5   6   7   8   9  10  36  37  38  85  86  96  98 101 102 106\n 107 109 110 111 115 116 121 122 125 128 129 130 134 139 140 141 145 146\n 194 198 201 203 205 206 207 208]\n"
     ]
    }
   ],
   "source": [
    "print(clf.support_)   # 支持向量的索引"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[52 46]\n"
     ]
    }
   ],
   "source": [
    "print(clf.n_support_)   #支持向量的个数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.09447  -0.324561] (98, 2)\n"
     ]
    }
   ],
   "source": [
    "print(clf.support_vectors_[0], clf.support_vectors_.shape)   # 支持向量"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Spam Classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "> Anyone knows how much it costs to host a web portal ?\n>\nWell, it depends on how many visitors you're expecting.\nThis can be anywhere from less than 10 bucks a month to a couple of $100.\nYou should checkout http://www.rackspace.com/ or perhaps Amazon EC2\nif youre running something big..\n\nTo unsubscribe yourself from this mailing list, send an email to:\ngroupname-unsubscribe@egroups.com\n\n"
     ]
    }
   ],
   "source": [
    "with open('emailSample1.txt', 'r') as f:\n",
    "    emial = f.read()\n",
    "    print(emial)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def processEmail(email):\n",
    "    import re\n",
    "    \"\"\"做除了Word Stemming和Removal of non-words的所有处理\"\"\"\n",
    "    email = email.lower()\n",
    "    email = re.sub('<[^<>]>', ' ', email)  # 匹配<开头，然后所有不是< ,> 的内容，知道>结尾，相当于匹配<...>\n",
    "    email = re.sub('(http|https)://[^\\s]*', 'httpaddr', email )  # 匹配//后面不是空白字符的内容，遇到空白字符则停止\n",
    "    email = re.sub('[^\\s]+@[^\\s]+', 'emailaddr', email)\n",
    "    email = re.sub('[\\$]+', 'dollar', email)\n",
    "    email = re.sub('[\\d]+', 'number', email) \n",
    "    return email"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "> anyone knows how much it costs to host a web portal ?\n>\nwell, it depends on how many visitors you're expecting.\nthis can be anywhere from less than number bucks a month to a couple of dollarnumber.\nyou should checkout httpaddr or perhaps amazon ecnumber\nif youre running something big..\n\nto unsubscribe yourself from this mailing list, send an email to:\nemailaddr\n\n"
     ]
    }
   ],
   "source": [
    "print(processEmail(emial))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    ""
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 0
}